Least Common Multiple of 201 and 204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 201 and 204 the smallest integer that is 13668 that is divisible by both numbers.

Least Common Multiple (LCM) of 201 and 204 is 13668.

LCM(201,204) = 13668

LCM of 201 and 204

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 201 and 204

LCM of 201 and 204 is 13668

Least common multiple can be found by multiplying the highest exponent prime factors of 201 and 204. First we will calculate the prime factors of 201 and 204.

Prime Factorization of 201


3 201
67 67
1

Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:

201 = 31×671

Prime Factorization of 204


2 204
2 102
3 51
17 17
1

Prime factors of 204 are 2, 3,17. Prime factorization of 204 in exponential form is:

204 = 22×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 201 and 204.

LCM(201,204) = 22×31×171×671
LCM(201,204) = 13668

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Least Common Multiple of 201 and 204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 201 and 204, than apply into the LCM equation.

GCF(201,204) = 3
LCM(201,204) = ( 201 × 204) / 3
LCM(201,204) = 41004 / 3
LCM(201,204) = 13668

Properties of LCM 201 and 204

(i) The LCM of 204 and 201 is associative

LCM of 201 and 204 = LCM of 204 and 201

Related Least Common Multiples of 201

Related Least Common Multiples of 204

Frequently Asked Questions on LCM of 201 and 204

1. What is the LCM of 201 and 204?

Answer: LCM of 201 and 204 is 13668.

2. What are the Factors of 201?

Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.

3. What are the Factors of 204?

Answer: Factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. There are 12 integers that are factors of 204. The greatest factor of 204 is 204.

4. How to Find the LCM of 201 and 204?

Answer:

Least Common Multiple of 201 and 204 = 13668

Step 1: Find the prime factorization of 201

201 = 3 x 67

Step 2: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 13668 = 2 x 2 x 3 x 17 x 67

Step 4: Therefore, the least common multiple of 201 and 204 is 13668.